On the Linear Bending Theory of a Pressurized Torus

[+] Author and Article Information
Jaan Kiusalaas

Department of Engineering Mechanics, The Pennsylvania State University, University Park, Pa.

K. S. Dhanju

Commercial Airplane Division, The Boeing Company, Renton, Wash.

J. Appl. Mech 35(1), 160-162 (Mar 01, 1968) (3 pages) doi:10.1115/1.3601132 History: Received April 24, 1967; Online September 14, 2011


The intent of this note is to point out the role of initial displacements (due to manufacturing errors) in the analysis of toroidal shells by linear bending theory. It is shown that the stresses and displacement are very sensitive to small variations of the meridional curvature in the case of uniform pressure. On the other hand, the analysis is comparatively immune to these imperfections when the loading consists of forces or moments applied to the edges of the shell. These conclusions are drawn from the toroidal shell equations of Novozhilov and Zienova, which have been modified such as to include highest-order terms in initial displacements. No solution of the equations is attempted.

Copyright © 1968 by ASME
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